5 problems

Let $d$ be a positive integer, and let CPWL denote the class of continuous piecewise-linear functions on $\mathbb{R}^d$. Consider ReLU networks with unrestricted width and prescrib…

Let $n=2^k$, and let $\operatorname{ReLU}_n(k)$ be the set of continuous piecewise linear functions on $\mathbb{R}^n$ computable with $k$ hidden layers. Max-function formulation of…

Let $\operatorname{ReLU}_n(k)$ denote the set of continuous piecewise linear functions defined on $\mathbb{R}^n$ and computable with $k$ hidden layers. Hertrich–Lindner–Raginsky–Ba…

Consider neural networks representing functions, with depth measuring the number of compositional layers and width measuring the number of units available in a layer. The source di…

A neural network's chaotic behavior refers to the dynamical complexity of the maps arising in its depth-composition structure, while the notions of complexity used in depth-separat…